[模拟电子线路]二篇 1章 答案
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解:1. A 0 0 0 0 1 1 1 1 B C 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 BC 0 0 0 1 0 0 0 1
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(1)x1=+10011; (2)x2=-01010; (3)x3=+0.1101 (4)x4=-0.0101
解: [X1]原=010011 [X2]原=101010 [X3]原=01101 [X4]原=10101
题2.1.4 1. A BC
[X1]反=001100 [X2]反=110101 [X3]反=01101 [X4]反=11010
CD 00 01 11 10
解:
CD
AB
00 01
AB
00
00 01 11 10
0 0
1 1
1
0
0
1
0 0
1 1
0 0
0
0 0
1
1
0 0
1
1
01
11
10
0
11
10
(1) Z1 CD BC
(2) Z 2 AC AD
CD
AB
00
00 01 11 10
CD
AB
00
01
00 01 11 10
解:
(1) (2) (3) (4) (5) (6)
(172)10
= (10101100)2
(0.8123)10 =(011001)2 (10101101.0101)2= (173.3125)10 (3625)10= (7051)8=(E29)16 (0.172)8= (03D0)16=(0.00111101)2 (4CA)16 =(10011001010)2=(1226)10
(2).
ABC
0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1
(1) (2)
ABC
1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0
AB BC AC
0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0
(7) (8)
Z ( A, B, C, D) AC AC BC BC
Z ( A, B, C, D) ABC ABD ACD C D ABC AC D (9) Z ( A, B, C, D) m(0,1,2,3,4,6,8,9,10,11,14)
(10)
解:
00
01
00 01 11 10
1 1 1 0 0 1 1 0 0 1 1 1 1 1 1
0
0
1
1
0
1
1
1
1
1
11
(7) Z 7 AC AB BC 或 AC AB BC
10 1
(8) Z 8 A D
Generated by Unregistered Batch DOC TO PDF Converter 2011.3.804.1511, please register5,6) d (4,11) (3) Z ( A, B, C, D) m(0,1,2,4,5,6,12) d (3,8,10,11,14)
(2) (4)
Z ( A, B, C, D) BCD ABC D ABCD, 约束条件为 CD 0
[X1]补=001101 [X2]补=110110 [X3]补=01101 [X4]补=11011
( A B)( A C )
2. AB BC C A
AB BC C A
A+BC 0 0 0 1 1 1 1 1 A+B 0 0 1 1 1 1 1 1 A+C 0 1 0 1 1 1 1 1 (A+B)(A+C) 0 0 0 1 1 1 1 1
00 01 11 10
AB
00
01
00 01 11 10
1
0 0
0
0
1
1 1 1
0
1 1 1 1
1 1
0
1 1
0
01
1
0
1
0
11
10
1
1
11
10
1 1
CD
1
1
1
1
(5) Z 5 AB BC B D ABD
(6) Z 6 CD AC AC AB
A
BC
00
01 11
10
AB
(9) (10)
AD( A D) ABC CD( B C ) ABC
解:
A B B C (1) ABCD CD ABCD = CD( AB 1 AB) CD
(2) A C BD BEF (3) ABC ABC AD
A B C AB AC (7) A B (8) ABE AE (9) AB CD (10) AC AB BC 或 AB AC BC
解:
CD
AB
00 01
00 01 11 10
CD
AB
00
×
00 01 11 10
0 0
1 1
1 1
0 0 0
1
1
1
0 0
0
1 1 1 1
0
1
0
01 1
1
11
10
1
0
11
10
1 1
1
1
0
1
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(2) 等式左边= ( A B) AB A B AB ( AB AB ) AB AB
题2.1.7 试从题2.1.7真值表写出L 题表2.1.7
A 0 0 0 0
解: L 题2.1.8
B C 0 0 0 1 1 0 1 1
L 0 1 1 0
A 1 1 1 1
B C 0 0 0 1 1 0 1 1
(3) (4)
Z AD( A D) ABC CD ( B C ) ABC
Z ABE CE ( B E AC E ) AE AC E (5) Z ( A, B, C, D) m(0,2,5,6,7,8,10,11,14,15) (6) Z ( A, B, C, D) m(1,2,3,5,6,7,8,9,10,11,12,13)
L 1 0 0 1
f ( A, B, C ) ABC ABC ABC ABC
已知逻辑电路图如图题2.1.8
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A B
(4) (5) (6)
题2.1.10 (1) (2)
Z1 ( A, B, C, D) AB D AC D ABC
Z 2 ( A, B, C, D) ACD ACD AD BC BC
解: (1) ABC D, ABCD, ABC D, ABC D 或 m14 , m13 , m12 , m10 (2) M 0 , M 2 , M 8 , M 10
AB
00
000 001 011 010 110 111 101 100
1
0
1
0
0
0 0 0 0
0 0 0 0
0
0
1
0 0 0
CD
1
0
0 0
0 0
0
0
1
0
1
0 0 0
0
0
01
11
0 10 0 1
11
10
1 1
1
1 1
0
0
1 1
1
1
(3) Z 3 BC
(4) Z 4 ABE AE
CD
AB
00
Z 2 A B C D AD BC
'
解: (1) Z1 的对偶式为: Z1 ( BAC D) ABC D Z1 的反函数式为: Z1 B ACD ABC D (2) Z2 的对偶式为: Z 2 ABC D( A D B C )
'
Z2的反函数式为: Z 2 AB(C D)( A D B C )
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第一章 题2.1.1 (1) (172)10 =(?)2 (2) (0.8123)10=(?)2 (3) (10101101.0101)2=(?)10 (4) (3625)10=(?)8=(?)16 (5) (0.172)8=(?)16=(?)2 (6) (4CA)16=(?)2=(?)10
1 1
≥1 ≥1 ≥1
L
图题2.1.8
解:
L f ( A, B) A B A B ( A B)( A B) A B A B A B
0 0 1 1 0 1 0 1 0 1 1 0